Answer:
10%
Explanation:
Since the bond is selling at a discount, it means that the coupon rate is blow the market rate, so the actual rate must be higher. Since there is only one option with an interest rate above 9%, we must check to see if it works.
10% yearly interest rate = 5% semiannual interest rate
we must determine the PV of the 20 coupons paid and the face value at maturity.
to calculate the PV of the 20 coupons ($45 each) we can use an excel spreadsheet and the NPV function with a 5% discount rate: PV of the coupons = $560.80
the PV of the face value in 10 years = $1,000 / 1.05²⁰ = $376.89
the present value of the coupons and the bond at maturity = $560.80 + $376.89 = $937.69. The PV using a 5% semiannual rate is very similar to $937.75, and since the question asked us to round up to the nearest whole percent, we can assume it is correct.
Answer:
Explanation:
Using future annuity formula
Fv = Pmt ( (1+r)ⁿ -1 )/ r
+ 1 = (1+r)ⁿ
In ( + 1) = n In ( 1+r)
n = In ( + 1) / In ( 1 + r)
FV, future value = $10,000, Pmt, periodic payment per year = $1,100, r rate = 11.82% = 0.1182 and n = number of years
n = 0.7297 / 0.11172 = 6.53 years approx 7 years
the last year payment will actually be less than $1,100
Answer:
t = 4.607742347 years rounded off to 4.61 years
Explanation:
To calculate the number of years it will take an investment of $3500 to grow to $5900 at an annual interest rate of 12%, we will use the formula for the future value of cash flows. The formula can be written as follows,
Future value = Present value * (1+i)^t
Where,
- i is the interest rate
- t is the time in years
Plugging in the values for future value, present value and i, we can calculate the t to be,
5900 = 3500 * (1+0.12)^t
5900 / 3500 = (1.12)^t
1.685714286 = 1.12^t
Taking log on both sides.
Ln(1.685714286) / Ln(1.12) = t
t = 4.607742347 years rounded off to 4.61 years
Answer:
Part a
2021 = $7,000
2022 = $6,000
Part b
2021 = $5,250
Explanation:
Sum of the year`s digit method provide for higher depreciation in early life of the asset with lower depreciation in later years.
Step 1
<em>Some of digits calculation :</em>
Year Digits
2021 7
2022 6
2023 5
2024 4
2025 3
2026 2
2027 1
Total 28
Step 2
<em>Determine the depreciable amount</em>
Depreciable amount = Cost - Residual value
= $40,000 - $12,000
= $28,000
Step 3
<em>Depreciation expense calculations</em>
2021 = 7 / 28 x $28,000 = $7,000
2022 = 6/ 28 x $28,000 = $6,000
assuming the equipment was purchased on March 31, 2021
2021 = $7,000 x 9/12 = $5,250
B. It is too risky to <span>use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.</span>
